• Title/Summary/Keyword: Distributions

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Implementation of Reliability Measure and Distribution (신뢰성 척도 및 분포의 적용)

  • Choi Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.7 no.5
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    • pp.175-184
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    • 2005
  • This paper presents the practial guide to implementation of reliability distributions. The applicability and property of various reliability distribution will then be illustrated. Main objective of this study is to present how to use reliability distributions summary with respect to the total life cycle management. This paper provides insight info the good aspects of using relability distributions properly.

Testing of EBELC classes of life distributions based on TTT-transform

  • Abu-Youssef, S.E.;Mohie El-Din, M.M.;Hassan, M.Kh.
    • International Journal of Reliability and Applications
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    • v.13 no.1
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    • pp.49-56
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    • 2012
  • Using total time on test transform (TTT), a new approach is taken for testing exponentiality versus the unknown age, exponential better than equilibrium life in convex ordering (EBELC). Selected critical values are tabulated for sample size n =2(2)50 and powers of the test are estimated for some commonly used distributions in reliability. Finally real example is presented to illustrate the theoretical results.

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Rank Scores for Linear Models under Asymmetric Distributions

  • Choi, Young-Hun
    • Communications for Statistical Applications and Methods
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    • v.13 no.2
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    • pp.359-368
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    • 2006
  • In this paper we derived the asymptotic relative efficiency, ARE(ms, rs), of our new score function with respect to the McKean and Sievers scores for the asymmetric error distributions which often occur in practice. We thoroughly explored the asymptotic relative efficiency, ARE(ms, rs), of our score function that provides much improvement over the McKean and Sievers scores for all values of r and s under asymmetric distributions.

Sharp Expectation Bounds on Extreme Order Statistics from Possibly Dependent Random Variables

  • Yun, Seokhoon
    • Communications for Statistical Applications and Methods
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    • v.11 no.3
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    • pp.455-463
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    • 2004
  • In this paper, we derive sharp upper and lower expectation bounds on the extreme order statistics from possibly dependent random variables whose marginal distributions are only known. The marginal distributions of the considered random variables may not be the same and the expectation bounds are completely determined by the marginal distributions only.

REPRESENTATION OF OPERATOR SEMI-STABLE DISTRIBUTIONS

  • Choi, Gyeong-Suk
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.135-152
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    • 2000
  • For a linear operator Q from $R^{d}\; into\; R^{d},\; {\alpha}\;>0\; and\ 0-semi-stability and the operater semi-stability of probability measures on $R^{d}$ are defined. Characterization of $(Q,b,{\alpha})$-semi-stable Gaussian distribution is obtained and the relationship between the class of $(Q,b,{\alpha})$-semi-stable non-Gaussian distributions and that of operator semistable distributions is discussed.

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CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS THROUGH RECORD STATISTICS

  • Khan, Abdul Hamid;Faizan, Mohd.;Haque, Ziaul
    • Communications of the Korean Mathematical Society
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    • v.25 no.3
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    • pp.485-489
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    • 2010
  • A family of continuous probability distribution has been characterized through the difference of two conditional expectations, conditioned on a non-adjacent record statistic. Also, a result based on the unconditional expectation and a conditional expectation is used to characterize a family of distributions. Further, some of its deductions are also discussed.

Rotational Distribution of $CO_2$($00^00)after Collisions with Hot Atoms

  • Kim, U Hang
    • Bulletin of the Korean Chemical Society
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    • v.21 no.5
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    • pp.493-496
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    • 2000
  • By use of the rotational distribution expression previously derived based on the collisional time correlation function formalism, the rotational distributions of $CO_2$ vibrational ground state (00°0) after collisions with hot H, D, or Cl atom have been constructed. Energy and rotational quantum number parameters which can characterize the rotational distributions are also calculated and compared with those deduced from the experimental distribution. The results from this work would be very useful in predicting the rotational distributions in the lower J region for which experimental data are not available due to the interference from the ambient $CO_2$.

ON CHARACTERIZATIONS OF THE CONTINUOUS DISTRIBUTIONS BY INDEPENDENCE PROPERTY OF THE QUOTIENT-TYPE UPPER RECORD VALUES

  • LEE, MIN-YOUNG;JIN, HYUN-WOO
    • Journal of applied mathematics & informatics
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    • v.37 no.3_4
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    • pp.245-249
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    • 2019
  • In this paper we obtain characterizations of a family of continuous probability distribution by independence property of upper record values. Also, we introduce some examples of the characterizations of distributions from these general classes of continuous distributions.

ON CHARACTERIZATIONS OF THE CONTINUOUS DISTRIBUTIONS BY INDEPENDENT PROPERTY OF THE DIFFERENCE-TYPE k-TH LOWER RECORD VALUES

  • HYUN-WOO JIN
    • Journal of applied mathematics & informatics
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    • v.41 no.4
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    • pp.821-829
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    • 2023
  • In this paper, we obtain characterizations of continuous distributions based on the independent property of generalized record values extending the characterization results reported by Jin and Lee [4], Skřivánková and Juhás [8]. Also, example of special cases of general classes as Bur types, Pareto, power and Weibull distribution are discussed.

Extraction of Infrared Target based on Gaussian Mixture Model

  • Shin, Do Kyung;Moon, Young Shik
    • IEIE Transactions on Smart Processing and Computing
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    • v.2 no.6
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    • pp.332-338
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    • 2013
  • We propose a method for target detection in Infrared images. In order to effectively detect a target region from an image with noises and clutters, spatial information of the target is first considered by analyzing pixel distributions of projections in horizontal and vertical directions. These distributions are represented as Gaussian distributions, and Gaussian Mixture Model is created from these distributions in order to find thresholding points of the target region. Through analyzing the calculated Gaussian Mixture Model, the target region is detected by eliminating various backgrounds such as noises and clutters. This is performed by using a novel thresholding method which can effectively detect the target region. As experimental results, the proposed method has achieved better performance than existing methods.

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